 About 2,250 results  books.google.com Almost Periodic Functions such that any interval of length [(12) contains a
translation number off belonging to s, then f (x) .... series 2,1, 01,exp}.,z such that
two analytic almost periodic functions are identical if the corresponding Dirichlet
series ... 

 books.google.com ... 30H05, 42A75, 43A60) (referred to in: Dirichlet series for an analytic almost
periodic function) (refers to: almostperiodic function) almostperiodic coefficients
see: Linear system of differential equations with – almostperiodic
compactification ... 

 books.google.com If the Dirichlet series (1) converges in the entire plane, its sum F(s) is an entire
function. ... 1980 Subject Classification: 40A05, 3OB50 DIRICHLET SERIES FOR
AN ANALYTIC ALMOSTPERIODIC FUNCTION  A series of the type f(s) ~ XA,e"
e" ... 

 books.google.com Dirichlet coefficients as, X e R of an almost periodic function f(a) on R are the
numbers gHT 1  f — l;  —i Xa: (1) 4m s so da:. o/ Note that the existence of this
limit, and also its ... Consequently, the correspondence (2) between almost
periodic functions and their Dirichlet series is injective. ... A function k=1 in AP(R)
is said to be analytic almost periodic, if sp (f) C R.I., i.e. if f has analytic extension
in C+. 

 books.google.com Michiel Hazewinkel  1994  Preview For generalized almostperiodic functions the concept of an almostperiod is
more complicated. ... easily carried over to almostperiodic analytic functions: the
uniqueness theorem, Parseval's equality, rules of operation with Dirichlet series,
the ... 

 books.google.com Almost periodicity is generalised in a natural way to the class of analytic functions
in a strip a<Rz<b by the condition that the ... One of the main features of the
theory of analytic almost periodic functions is the existence of the "Dirichlet series
" ... 

 books.google.com Theorem 3.19 shows also that a Dirichlet series, which on the lines Re z = a and
Re z = b reduces to the Fourier series of two almost periodic functions, can be
considered as a Dirichlet series associated with an analytic almost periodic ... 

 books.google.com Fourth Conference on Function Spaces, May 1419, 2002, Southern Illinois
University at Edwardsville Krzysztof Jarosz ... Mathematics Volume 328, 2003
Analytic Functions on Compact Groups and their applications to almost periodic
functions Thomas Tonev and S. A. Grigoryan ABSTRACT. This is a ... Bohr
discovered almost periodicity in the course of his study of Dirichlet series of
analytic functions. 

 books.google.com Bohr discovered the almost periodicity property in the course of his study of
Dirichlet series of analytic functions. For more detailed exposition on almost
periodic functions we refer to the books of Corduneanu [C2] and Loomis [L4].
Closely ... 

 books.google.com Let f(x) be a Talmostperiodic function on R. Dirichlet coefficients of f(x) are said
to be the numbers 1 y+T f — 1. ... of f(x) for any k = 1,2,... symbolically is
expressed in the following way: (16) f(r)  XDA!e”. k=1 The series on the right
hand side of (16) is called Dirichlet series of f(x). ... TAnalytic Functions in the Big
Plane. 

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